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Finding the Fourth Proportional to 527.69, 727.18 and 380.04

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Solution

The fourth proportional to 527.69, 727.18 and 380.04 is: 523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 727.18 = 380.04 : x
  2. Step 2: Convert to fraction form
    527.69/727.18 = 380.04/x
  3. Step 3: Cross multiply
    527.69x = 727.18 × 380.04
  4. Step 4: Simplify right side
    527.69x = 276,356.54
  5. Step 5: Solve for x
    x = 276,356.54/527.69
  6. Step 6: Final answer
    x = 523.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.